Affine

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Look up affine in Wiktionary, the free dictionary.

Affine may refer to:

• Affine cipher, a special case of the more general substitution cipher
• Affine combination, a certain kind of constrained linear combination
• Affine connection, a connection on the tangent bundle of a differentiable manifold
• Affine geometry, a geometry not involving any notions of origin, length or angle
• Affine differential geometry, a geometry that studies differential invariants under the action of the special affine group
• Affine group, the group of all invertible affine transformations from any affine space over a field K into itself
• Affine representation, a continuous group homomorphism whose values are automorphisms of an affine space
• Affine scheme, the spectrum of prime ideals of a commutative ring
• Affine (Société), A French Commercial real estate company.
• Affine space, an abstract structure that generalises the affine-geometric properties of Euclidean space
• Affine transformation, a linear transformation followed by a translation between two vector spaces, or equivalently, a transformation that preserves all affine combinations

[edit] See also

• Affinity

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